Absolute convergence of Fourier series of superpositions of functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 3-11

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In this paper we establish conditions for the absolute convergence of series of Fourier coefficients with respect to a generalized Haar system of a superposition of two functions.
Mots-clés : Fourier coefficients, superposition.
Keywords: Haar system
@article{IVM_2009_11_a0,
     author = {G. A. Akishev},
     title = {Absolute convergence of {Fourier} series of superpositions of functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--11},
     publisher = {mathdoc},
     number = {11},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_11_a0/}
}
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G. A. Akishev. Absolute convergence of Fourier series of superpositions of functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2009_11_a0/